A short-range aerial duel with infrared missiles is the purpose with this study. The problem is solved numerically with a modified differential dynamic programming method. A new ingredient in the solution technique has to be implemented in the algorithm. This originates from the complex launch condition of the missiles. The paper emphasizes the game problem and the theoretical extension of the method. A simple case in the horizontal plane will be illustrated, which however is no limitation as a numerical method is used.

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